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Finding the Fourth Proportional to 406,619.32, 561,156.24 and 225,351.04

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Solution

The fourth proportional to 406,619.32, 561,156.24 and 225,351.04 is: 310,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,619.32 : 561,156.24 = 225,351.04 : x
  2. Step 2: Convert to fraction form
    406,619.32/561,156.24 = 225,351.04/x
  3. Step 3: Cross multiply
    406,619.32x = 561,156.24 × 225,351.04
  4. Step 4: Simplify right side
    406,619.32x = 126,457,142,286.49
  5. Step 5: Solve for x
    x = 126,457,142,286.49/406,619.32
  6. Step 6: Final answer
    x = 310,996.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.